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Finding the Third Proportional to 86,946.75 and 183,232.13

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Solution

The third proportional to 86,946.75 and 183,232.13 is: 386,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,946.75 : 183,232.13 = 183,232.13 : x
  2. Step 2: Convert to fraction form
    86,946.75/183,232.13 = 183,232.13/x
  3. Step 3: Cross multiply
    86,946.75x = 183,232.13 × 183,232.13
  4. Step 4: Simplify right side
    86,946.75x = 33,574,011,632.02
  5. Step 5: Solve for x
    x = 33,574,011,632.02/86,946.75
  6. Step 6: Final answer
    x = 386,144.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.